Member unwrapping Italian ham (3)
I believe the answer is:
arm
'member' is the definition.
(member can mean a limb)
'unwrapping italian ham' is the wordplay.
'unwrapping' says to take the centre (letters which 'wrap' the word are removed).
'italian ham' becomes 'Parma' (Parma ham).
The middle letters of 'parma' are 'ARM'.
(Other definitions for arm that I've seen before include "Limb or branch" , "Accoutre" , "Steel" , "Equip with weapon" , "inlet" .)